My nasal passage also feels dry and my chest a bit tight.

Infection: Your symptoms are more characteristic of a flu like viral upper respiratory tract infection than allergic reaction to pollen and dust particles. This should resolve in several days of rest, drinking adequate fluids, cough syrup and acetaminophen as needed. High fever,shaking chills night sweats, worsening cough, wheezing or shortness of breath would indicate a need to consult a physician,however.